Solve 11/4-318/20=

$$1 \frac { 1 } { 4 } - 3 \frac { 18 } { 20 } =$$

Evaluate

$$-\frac{53}{20}=-2.65$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+1}{4}-\frac{3\times 20+18}{20}$$

Add 4 and 1 to get 5.

$$\frac{5}{4}-\frac{3\times 20+18}{20}$$

Multiply 3 and 20 to get 60.

$$\frac{5}{4}-\frac{60+18}{20}$$

Add 60 and 18 to get 78.

$$\frac{5}{4}-\frac{78}{20}$$

Reduce the fraction \frac{78}{20} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}-\frac{39}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{5}{4} and \frac{39}{10} to fractions with denominator 20.

$$\frac{25}{20}-\frac{78}{20}$$

Since \frac{25}{20} and \frac{78}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-78}{20}$$

Subtract 78 from 25 to get -53.

$$-\frac{53}{20}$$

Factor

$$-\frac{53}{20} = -2\frac{13}{20} = -2.65$$